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Finding the Fourth Proportional to 408,084.30, 612,126.45 and 158,766.30

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Solution

The fourth proportional to 408,084.30, 612,126.45 and 158,766.30 is: 238,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,084.30 : 612,126.45 = 158,766.30 : x
  2. Step 2: Convert to fraction form
    408,084.30/612,126.45 = 158,766.30/x
  3. Step 3: Cross multiply
    408,084.30x = 612,126.45 × 158,766.30
  4. Step 4: Simplify right side
    408,084.30x = 97,185,051,598.64
  5. Step 5: Solve for x
    x = 97,185,051,598.64/408,084.30
  6. Step 6: Final answer
    x = 238,149.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.